51368149728 has 480 divisors, whose sum is σ = 179412000768. Its totient is φ = 14108774400.

The previous prime is 51368149711. The next prime is 51368149787. The reversal of 51368149728 is 82794186315.

51368149728 is a `hidden beast` number, since 51 + 3 + 6 + 81 + 497 + 28 = 666.

It is a super-3 number, since 3×51368149728³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152427576 + ... + 152427912.

Almost surely, 2^51368149728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51368149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89706000384).

51368149728 is an abundant number, since it is smaller than the sum of its proper divisors (128043851040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51368149728 is a wasteful number, since it uses less digits than its factorization.

51368149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 51368149728 in words is "fifty-one billion, three hundred sixty-eight million, one hundred forty-nine thousand, seven hundred twenty-eight".